A Weak Galerkin Finite Element Method for the Elliptic Variational Inequality

被引：5
|
作者：
Peng, Hui [1 ]
Wang, Xiuli [1 ]
Zhai, Qilong [2 ]
Zhang, Ran [1 ]
机构：
[1] Jilin Univ, Sch Math, Changchun 130012, Jilin, Peoples R China
[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | 2019年 / 12卷 / 03期
基金：
中国博士后科学基金; 美国国家科学基金会;
关键词：
Obstacle problem; the second kind of elliptic variational inequality; weak Galerkin finite element method; discrete weak gradient; MONOTONE MULTIGRID METHODS; APPROXIMATION; ALGORITHM; SCHEME; NEWTON;
D O I：
10.4208/nmtma.OA-2018-0124
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we discuss the weak Galerkin (WG) finite element method for the obstacle problem and the second kind of the elliptic variational inequality. We use piecewise linear functions to approximate the exact solutions. The WG schemes for the first and the second kind of elliptic variational inequality are established and the well-posedness of the two schemes are proved. Furthermore, we can obtain the optimal order estimates in H-1 norm. Finally, some numerical examples are presented to confirm the theoretical analysis.
引用
收藏
页码：923 / 941
页数：19
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